Group extension
In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence If G is an extension of Q by N, then G is a group, is a normal subgroup of G and the quotient group is isomorphic to the group Q. Group extensions arise in the context of the extension problem, where the groups Q and N are known and the properties of G are to be determined. Note that the phrasing "G is an extension of N by Q" is also used by some.
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Group extension
In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence If G is an extension of Q by N, then G is a group, is a normal subgroup of G and the quotient group is isomorphic to the group Q. Group extensions arise in the context of the extension problem, where the groups Q and N are known and the properties of G are to be determined. Note that the phrasing "G is an extension of N by Q" is also used by some.
has abstract
Dalam matematika, ekstensi gru ...... subgrup N terletak di dari G.
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Em matemática, uma extensão de ...... rupo N estiver no centro de G.
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En grupa teorio, centra de gru ...... kaŭ okazas en kvantummekaniko.
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En mathématiques, plus précisé ...... t Q est le groupe quotient G/N
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En álgebra abstracta, se denom ...... e las veces del grupo factor .
@es
In mathematics, a group extens ...... oup N lies in the center of G.
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Расширение группы — группа, со ...... группа лежит в центре группы .
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在抽象代數中，設 為群，若存在群 ，及群的正合序列 （換言之 ...... 則稱此擴張為平凡擴張。當 落在 的中心時，稱之為中心擴張。
@zh
数学において、群の拡大（ぐんのかくだい、英: group e ...... 中心拡大 (central extension)と呼ばれる。
@ja
군론에서, 군의 확대(群-擴大, 영어: group extension)는 군을 정규 부분군과 몫군으로 나타내는 방법이다.
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Dalam matematika, ekstensi gru ...... digunakan oleh beberapa orang.
@in
Em matemática, uma extensão de ...... utilizada por alguns autores.
@pt
En grupa teorio, centra de gru ...... as en la centro de . π: G* → G
@eo
En mathématiques, plus précisé ...... t Q est le groupe quotient G/N
@fr
En álgebra abstracta, se denom ...... ión de por ...», por ejemplo .
@es
In mathematics, a group extens ...... N by Q" is also used by some.
@en
Расширение группы — группа, со ...... группа лежит в центре группы .
@ru
在抽象代數中，設 為群，若存在群 ，及群的正合序列 （換言之 ...... 則稱此擴張為平凡擴張。當 落在 的中心時，稱之為中心擴張。
@zh
数学において、群の拡大（ぐんのかくだい、英: group e ...... 中心拡大 (central extension)と呼ばれる。
@ja
군론에서, 군의 확대(群-擴大, 영어: group extension)는 군을 정규 부분군과 몫군으로 나타내는 방법이다.
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Centra vastigaĵo
@eo
Ekstensi grup
@in
Extension de groupes
@fr
Extensió de grup
@ca
Extensión de grupo
@es
Extensão de grupo
@pt
Group extension
@en
Расширение группы
@ru
群の拡大
@ja
群擴張
@zh